An adaptive local deconvolution method for general curvilinear coordinate systems

Abstract

Turbulence modeling and the numerical discretization of the Navier–Stokes equations are strongly coupled in large-eddy simulations (LES). The truncation error of common approximations for the convective terms can outweigh the effect of a physically sound subgrid-scale (SGS) model, which generally operates on a range of scales that is marginally resolved by any discretization scheme. This mutual interference can have large and generally unpredictable effects on the accuracy of the solution. On the other hand, one can exploit this link by developing discretization methods from subgrid-scale models, or vice versa. Approaches where the SGS model and the numerical discretization scheme are fully merged are called implicit LES (ILES) methods.